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3 years ago

Two times a number, plus five, equals the number, minus five.

Mathematics

1 answer:

kirza4 [7]3 years ago

3 0

Answer:

x= -5

Step-by-step explanation:

let the number be x.

2x+5= -5 ====> equation

2x= -5-5. (shifted the +5 to the other side)

2x= -10

x= -10/2 ( shifted 2 on the other side as it was multiplying with x)

x= -5

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Slope of 2 and passes through the point (-4,3). Write the equation in slope intercept form

erastova [34]

Answer:

The equation is y = 2x + 11.

Step-by-step explanation:

It is given that the gradient of the equation is 2. Using slope-form formula, y = mx+b where m is gradient and b is y-intercept. In order to find b, you have to substitute x-coordinate and y-coordinate into the equation :

y = mx + b

m = 2

At(-4,3),

3 = 2(-4) + b

b = 3 - 2(-4)

= 11

8 0

3 years ago

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)equa

Alenkinab [10]

Answer:

20 Bicycles

Step-by-step explanation:

The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:

$C(x)=0.5x^2-0.2x+6.756$

The minimum value of C occurs at the axis of symmetry.

Axis of Symmetry, $x=-\frac{b}{2a}$

Comparing with the standard form of a quadratic equation $ax^2+bx+c=0$

a=0.5, b=-0.2

$x=-\frac{(-0.2)}{2*0.5}\\x=0.2$

x=0.2 Hundreds =0.2 X 100 =20

When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.

5 0

3 years ago

I need help breaking this down

sergeinik [125]

Answer:

see explanation

Step-by-step explanation:

Given

2cosΘ - $\sqrt{2}$ = 0 ( add $\sqrt{2}$ to both sides )

2cosΘ = $\sqrt{2}$ ( divide both sides by 2 )

cosΘ = $\frac{\sqrt{2} }{2}$

Since cosΘ > 0 then Θ is in first and fourth quadrants, hence

Θ = $cos^{-1}$ ( $\frac{\sqrt{2} }{2}$ ) = $\frac{\pi }{4}$

Θ = 2π - $\frac{\pi }{4}$ = $\frac{7\pi }{4}$

solutions are Θ = $\frac{\pi }{4}$ , $\frac{7\pi }{4}$

3 0

3 years ago

Read 2 more answers

Find the value of W that makes quadrilateral PQRS a parallelogram.

mestny [16]

to be a parallelogram its front sides must be equal to each other

so, we equalize the length of two sides that are face to face

$\begin{gathered} 5w-25=w+15 \\ \\ \end{gathered}$

and solve for w

$\begin{gathered} 5w-w=15+25 \\ 4w=40 \\ w=\frac{40}{4} \\ \\ w=10 \end{gathered}$

the value of w must be 10

6 0

1 year ago

Solve for x.<br><br> 12 = x + 3 X=_____

alexandr1967 [171]

For this case we must find the value of the variable "x" of the following equation:

$12 = x + 3$

So, we follow the steps:

Subtracting 3 from both sides of the equation we have:

$12-3=x+3-3$

Different signs are subtracted and the sign of the major is placed:

$9 = x\\x = 9$

Thus, the value of x is 9.

Answer:

$x = 9$

5 0

3 years ago